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Chapter 6 Review

Chapter 6 Review. This is a review over all the stuff that you have learned, or should have learned, in chapter 6. Types of Special Quadrilaterals. Parallelograms Rectangles Rhombus (Rhombi) Squares Trapezoids. Properties for Parallelograms.

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Chapter 6 Review

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  1. Chapter 6 Review This is a review over all the stuff that you have learned, or should have learned, in chapter 6.

  2. Types of Special Quadrilaterals • Parallelograms • Rectangles • Rhombus (Rhombi) • Squares • Trapezoids

  3. Properties for Parallelograms • Both pairs of opposite sides are parallel and congruent • Diagonals bisect each other • Opposite angles are congruent • Consecutive angles are supplementary • DRAW A PARALLELOGRAM

  4. Parallelogram B a E C D

  5. Tests for Parallelograms • If one pair of opposite sides are parallel and congruent, then it is a parallelogram • If both pairs of opposite sides are parallel, then it is a parallelogram • If both pairs of opposite sides are congruent, then it is a parallelogram • If both pairs of opposite angles are congruent, then it is a parallelogram • If diagonals bisect each other, then it is a parallelogram

  6. Properties of a Rectangle • Both pairs of opposite sides are parallel and congruent • Diagonals bisect each other • Opposite angles are congruent • Consecutive angles are supplementary • All four angles are right • Diagonals are congruent DRAW A RECTANGLE

  7. Rectangles: If <DAE = 30 degrees can you determine the remaining angles? A B E D C

  8. Tests for Rectangles • If a quadrilateral has four right angles, then it is a rectangle • If a parallelogram has congruent diagonals, then it is a rectangle

  9. Properties for a Rhombus • Both pairs of opposite sides are parallel and congruent • Diagonals bisect each other • Opposite angles are congruent • Consecutive angles are supplementary • Diagonals intersect at 90 degree angles • Each diagonal bisects opposite angles • All sides are congruent

  10. Rhombi: If <BAE = 25degrees can you determine the other angles? D A E B B C

  11. Tests for Rhombi • If the diagonals of a parallelogram are perpendicular, then it is a rhombus

  12. Properties of Squares • Both pairs of opposite sides are parallel and congruent • Diagonals bisect each other • Opposite angles are congruent • Consecutive angles are supplementary • All four angles are right • Diagonals are congruent • Diagonals intersect at 90 degree angles • Each diagonal bisects opposite angles • All sides are congruent

  13. Squares A B A E D C

  14. Tests for Squares • If a quadrilateral is a rectangle and a rhombus, then it is a square

  15. Trapezoids • Bases • Legs • Median

  16. Isosceles Trapezoid B A M E D C

  17. Get out a clean sheet of paper • Label it Chapter 6 Review • Complete each following slide on that paper

  18. ABCD is a rectangle <A = 3x + 4 find x • ABCD is a parallelogram <A = 2x + 12 <B = 3x + 8

  19. To prove that a quadrilateral is a parallelogram you must show that the diagonals ________________________________________

  20. ABCD is a parallelogram <ABC = 52 <BCD = ?AD = 3x + 25, BC = 5x + 11 Find x, AD <EBC = 2x + 12, <ADE = 3x + 8 Find x a B E C D

  21. Rhombi: If <BAE = 30degrees can you determine the other angles? Draw and complete A D E B B C

  22. Rhombus If <BEA = 5x + 15 Find xIf AD = 15 and BC = 3x + 9 Find x A D E B B C

  23. Write the formula • Midpoint Formula • Distance Formula • Slope

  24. Explain in wordshow to show if four points create a parallelogram, a rectangle, a rhombus, and/or a square

  25. Define Each Term • Alternate Interior • Parallelogram • Rectangle • Rhombus • Square • Isosceles Trapezoid

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